5405300285310 has 96 divisors (see below), whose sum is σ = 14170630305312. Its totient is φ = 1429478277120.

The previous prime is 5405300285293. The next prime is 5405300285317. The reversal of 5405300285310 is 135820035045.

5405300285310 is a `hidden beast` number, since 5 + 40 + 5 + 300 + 285 + 31 + 0 = 666.

It is a super-2 number, since 2×5405300285310² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5405300285317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4735770 + ... + 5765250.

It is an arithmetic number, because the mean of its divisors is an integer number (147610732347).

Almost surely, 2^{5405300285310} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5405300285310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7085315152656).

5405300285310 is an abundant number, since it is smaller than the sum of its proper divisors (8765330020002).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5405300285310 is a wasteful number, since it uses less digits than its factorization.

5405300285310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029978 (or 1029975 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 5405300285310 in words is "five trillion, four hundred five billion, three hundred million, two hundred eighty-five thousand, three hundred ten".